What is the capacitive reactance of a capacitor with a capacitance of 10μF at a

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Question: What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)

Options:

Correct Answer: 318.31 ohms

Solution:

Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.

What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)

What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)

Step 1: Identify the formula for capacitive reactance (Xc), which is Xc = 1 / (2πfC).
Step 2: Identify the values needed for the formula: frequency (f) is 50 Hz and capacitance (C) is 10μF (which is 10 × 10^-6 F).
Step 3: Substitute the values into the formula: Xc = 1 / (2π × 50 × 10 × 10^-6).
Step 4: Calculate the denominator: 2π × 50 × 10 × 10^-6 = 0.00031416.
Step 5: Calculate Xc by taking the reciprocal of the denominator: Xc = 1 / 0.00031416.
Step 6: Perform the calculation to find Xc: Xc ≈ 318.31 ohms.

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